Question
Average of 8 numbers is 70. If average of first four and
last two numbers is 50 and 60, respectively then find the fifth number given that ratio of fifth and sixth number is 7:5, respectively.Solution
Let fifth and sixth numbers be ‘7x’ and ‘5x’, respectively. So, 7x + 5x = 70 × 8 – 50 × 7 – 60 × 5 = 240 Or, 12x = 240 Or, x = 20 So, fifth number = 20 × 7 = 140
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